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Topological behavior has been observed in quantum systems including ultracold atoms. However, background harmonic traps for cold-atoms hinder direct detection of topological edge states arising at the boundary because the distortion fuses…

Quantum Gases · Physics 2017-08-17 Mekena Metcalf , Chen-Yen Lai , Kevin Wright , Chih-Chun Chien

We present a class of mechanical lattices based on elliptical gears with quasiperiodic modulation and geometric nonlinearity, capable of exhibiting topologically protected modes and amplitude-driven transitions. Starting from a…

Applied Physics · Physics 2025-08-11 Shuaifeng Li , Di Zhou , Feng Li , Panayotis G. Kevrekidis , Jinkyu Yang

Synthetic fields applied to ultracold quantum gases can realize topological phases that transcend conventional Bose and Fermi-liquid paradigms. Raman laser beams in particular are under scrutiny as a route to create synthetic fields in…

Strongly Correlated Electrons · Physics 2018-08-09 Hoi-Yin Hui , Mengsu Chen , S. Tewari , V. W. Scarola

We consider a one-dimensional, time-reversal-invariant system with attractive interactions and spin-orbit coupling. Such a system is gapless due to the strong quantum fluctuations of the superconducting order parameter. However, we show…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Anna Keselman , Erez Berg

Topological edge zero modes and states of self stress have been intensively studied in discrete lattices at the Maxwell point, offering robust properties concerning surface and interface stiffness and stress focusing. In this paper we…

Materials Science · Physics 2020-05-27 Kai Sun , Xiaoming Mao

Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological…

Quantum Gases · Physics 2013-04-25 N. Goldman , J. Dalibard , A. Dauphin , F. Gerbier , M. Lewenstein , P. Zoller , I. B. Spielman

Since the discovery of topological insulators, many topological phases have been predicted and realized in a range of different systems, providing both fascinating physics and exciting opportunities for devices. And although new materials…

Quantum Gases · Physics 2016-07-15 N. Goldman , J. C. Budich , P. Zoller

Frames, or lattices consisting of mass points connected by rigid bonds or central force springs, are important model constructs that have applications in such diverse fields as structural engineering, architecture, and materials science.…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 C. L. Kane , T. C. Lubensky

We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D) super-lattice potential with alternating tunneling rates t_1 and t_2 and inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger (SSH) model. A…

Quantum Gases · Physics 2014-10-08 Fabian Grusdt , Michael Höning , Michael Fleischhauer

Shaping the light emission characteristics of laser systems is of great importance in various areas of science and technology. In a typical lasing arrangement, the spatial profile of the mode tends to remain self-similar throughout the…

Topological photonics has attracted widespread research attention in the past decade due to its fundamental interest and unique manner in controlling light propagation for advanced applications. Paradigmatic approaches have been proposed to…

The possibility of obtaining robust edge state of light by mimicking the topological properties of solid state system, have brought a profound impact on optical sciences. With the advent of high-brilliance, accelerator-driven light sources…

Topological lasers are a new class of lasers that seek to exploit the special properties of topological states of light. A typical limiting factor in their performance is the existence of non-topological states with quality factors…

Optics · Physics 2021-10-25 B. F. Zhu , Q. Wang , Y. Q. Zeng , Q. J. Wang , Y. D. Chong

In the continuum O(3) sigma model in two spatial dimensions, there are topological solitons whose size can be stabilized by adding Skyrme and potential terms. This paper describes a lattice version, namely a natural way of modifying the 2d…

High Energy Physics - Theory · Physics 2016-09-06 R. S. Ward

Engineering synthetic dimensions, where the physics of additional spatial dimensions is simulated within the internal states of a quantum system, allows the realisation of phenomena not otherwise accessible in experiments. Ultracold…

We show that topology can protect exponentially localized, zero energy edge modes at critical points between one-dimensional symmetry protected topological phases. This is possible even without gapped degrees of freedom in the bulk ---in…

Mesoscale and Nanoscale Physics · Physics 2018-02-02 Ruben Verresen , Nick G. Jones , Frank Pollmann

Topological edge states typically arise at the boundaries of topologically nontrivial structures or at interfaces between regions with differing topological invariants. When topological systems are extended into the nonlinear regime, linear…

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

Quantum Physics · Physics 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

Topologically protected edge states with immunity against various disorders have been implemented in a variety of topological insulators. In this Letter, we reveal that Landau levels in aperiodic acoustic structures can be achieved under…

Mesoscale and Nanoscale Physics · Physics 2025-05-12 Y. X. Fang , W. H. Zhu , Y. Cai , X. H. Li , M. Q. Zhang , J. Huang , Y. Li , S. Q. Wu

We report an actively tunable topological edge mode laser in a one-dimensional Su-Schrieffer-Heeger (SSH) laser chain, where the SSH chain is realized in an electrically-injected Fabry-Perot (FP) laser chain. A non-Hermitian SSH model is…

Optics · Physics 2018-05-24 Ruizhe Yao , Hang Li , Bowen Zheng , Sensong An , Jun Ding , Chi-Sen Lee , Hualiang Zhang , Wei Guo
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